9 What is a primitive polynomial? I was looking into some random number generation algorithms and 'primitive polynomial' came up a sufficient number of times that I decided to look into it in more detail. …

May 16, 2023 · How would you find a primitive root of a prime number such as 761? How do you pick the primitive roots to test? Randomly? Thanks

The important fact is that the only numbers $n$ that have primitive roots modulo $n$ are of the form $2^\varepsilon p^m$, where $\varepsilon$ is either $0$ or $1$, $p$ is an odd prime, and $m\ge0$

Oct 13, 2022 · In this Wikipedia article some upper bounds for the smallest primitive root $g$ modulo a prime $p$ are given, but the first is implicite (what is the constant $C ...

Oct 13, 2020 · For example, if $\zeta$ is a primitive sixth root of unity, then so is $\zeta^5=\zeta^ {-1}$. Of course $\zeta^3=-1$ is not a primitive sixth root of unity; it is a primitive second root of unity.

May 31, 2016 · I will really appreciate if someone could give example of these and explain what makes them primitive and prime. e.g about polynomials used in Cyclic Redundancy Check that are …

Sep 18, 2022 · Proving that a matrix is primitive? Ask Question Asked 3 years, 7 months ago Modified 3 years, 7 months ago

Apr 10, 2015 · The "grows faster" argument accomplishes this. If the Ackermann function grows faster than any primitive recursive function, it doesn't equal any of them. In order to make the "grows faster" …

Nov 5, 2025 · Hence, all odd numbers are included in at least one primitive triplet. Except 1, because I'm not allowing 0 to be a term in a triplet. I can't think of any primitive triplets that have an even number …

Then, primitive recursive functions can be reduced to relations? And, in defining the p.r. functions he uses logical operators that i thought were available only inside the logical system. So, the domain of …